Abstract
Some transport theoretical calculations determine the exiting currents on the boundary of a volume from the entering currents. To do so, they need the so called response matrix. If the volume is symmetric, the response matrix is a cyclic matrix. If the volume is symmetric but the material distribution is a sum of a symmetric function and a small perturbation, we are no longer able to say anything about the response matrix, we have to calculate the perturbation for each element. A more effective approach is proposed by considering perturbations of specific asymmetry, such as a tilt along an axis. We point out the relationship between symmetries of material distribution in a volume and symmetries of the response matrix. The method can be generalized to a number of boundary value problems.
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